Full opinion text
BOWNES, Circuit Judge. Thomas E. Flaherty, James R. Kearns, Jr., and Stuart H. Wahl appeal jury convictions of conspiring to receive and possess a stolen interstate shipment of beef in violation of 18 U.S.C. § 371 and of receiving and possessing a stolen interstate shipment of beef in violation of 18 U.S.C. § 659. The appellants were also indicted for aiding and abetting under 18 U.S.C. § 2, but were acquitted on that charge. Seven issues are presented for review: 1. The sufficiency of the evidence to support the convictions of appellants; 2. Should the indictment have been dismissed because a witness perjured himself before the grand jury; 3. Whether appellants were deprived of a fair trial because of the Government’s alleged failure to comply with discovery orders and to disclose allegedly exculpatory evidence prior to trial; 4. Whether statements of the prosecutor in his opening statement and closing argument deprived appellants of a fair trial; 5. The district court’s instructions to the jury; 6. The procedure mandated by the district court for exercising peremptory challenges; and 7. Whether the fact that the trial judge remained in the presence of the jury in the absence of the parties and their attorneys requires a reversal. We review the facts in the light most favorable to the Government. United States v. Benmuhar, 658 F.2d 14, 16 (1st Cir. 1981); United States v. Ciampaglia, 628 F.2d 632, 636 (1st Cir.), cert. denied, 449 U.S. 956, 101 S.Ct. 365, 66 L.Ed.2d 221 (1980). The principal witnesses for the Government, Joseph Sullivan, John Farrell, and Ralph Booth Gunschel, were all accomplices of defendants. The case started in early June, 1977, when Thomas Richard Marr, a truck driver, picked up a load of thirty-nine or forty thousand pounds of meat in Wichita, Kansas, for delivery to Hartford, Connecticut, and Brockton, Massachusetts. After delivering part of the load in Hartford on the afternoon of June 13, Marr proceeded to Brockton. Because delivery could not be made to the Brockton consignee that day, Marr and his wife, who had accompanied him, spent the night at the Holiday Inn and left the truck parked in the Holiday Inn parking lot, which is next to the Westgate Mall in Brockton. Later that evening, Sullivan and Farrell passed the Holiday Inn on their way home after spending a hitherto unfruitful evening looking for trailer-truckloads to steal. The pair spotted a number of trucks in the Holiday Inn parking lot and determined to investigate further. Sullivan, who was driving, circled the parking lot, stopped near the trucks, and Farrell got out. The two had noticed that one of the trailer-trucks, Marr’s truck, as events turned out, had a refrigeration unit. Farrell opened the side door of the trailer and discovered several white boxes marked “Beef.” He reported this to Sullivan, who wanted to know more precisely what the boxes contained. Sullivan parked the car in a corner of the lot out of view of anyone inside the Holiday Inn and went over to the trailer-truck. He opened the side door, climbed into the trailer, and managed to pull out one of the boxes near the top. The box was very heavy, and Sullivan fell out of the trailer as he tried to carry it; he dropped the box and let it slide down a small hill to where the car was parked. Sullivan and Farrell left immediately for Sullivan’s house in Stoughton, Massachusetts, without opening the box. They carried the box into the kitchen and on opening it found that it contained tenderloin tips. Sullivan then telephoned Stuart Wahl to discuss the discovery. He told Wahl that there was a load of meat at the Westgate Mall in Brockton that they had a good opportunity to steal. (It was stipulated at trial that the value of the meat was $16,000.) If they succeeded in doing so, Sullivan asked Wahl, could Wahl find a buyer for it? Wahl replied that he did have an outlet and could sell the beef for 65 percent of its wholesale price. Wahl also told Sullivan that if he and Farrell were able to steal the truck, they should take it to the “drop” site in Avon, Massachusetts. Sullivan had had several conversations with Wahl earlier in 1977. In the late winter or early spring, Sullivan contacted Wahl about obtaining a “stash” or “drop” site for concealing stolen trucks. Wahl made some inquiries and found “drops” for Sullivan at the Ansel Gurney House, a restaurant and gift shop in Marion, Massachusetts, and at a warehouse in the Avon Industrial Park in Avon, Massachusetts. Sullivan visited and approved both locations. At the Ansel Gurney House he met the owner, Gunschel. In late April or early May, Wahl arranged with Gunschel to lease the freezer and stored a load of fish in it. He paid Gunschel $1,000 in cash for the rental. After the telephone call to Wahl, Sullivan and Farrell returned to the parking lot of the Holiday Inn. Sullivan parked the car, and, after a coin toss to determine who would drive the trailer-truck away, Farrell went over to the truck. He had with him a pair of gloves, a bar, a screwdriver, and a “slammer” or “dent popper,” a device used to pull the ignition system out of a car or truck so that it can be started without an ignition key. Farrell applied his tools and started the truck. While Farrell was working, Sullivan watched the entrance to the parking lot to make sure no one surprised them. After idling the engine to build up air pressure in the brakes, Farrell drove the truck out of the lot. Sullivan stayed behind for a few minutes to see whether the theft had been detected. They both took Route 27 to Route 24, where Sullivan caught up with Farrell. They then proceeded to the “drop” site at the Avon Industrial Park, where it was planned to leave the truck. Sullivan arrived at the warehouse first and was dismayed to learn that police or security men were patrolling the area and that the door to the warehouse was broken so that it could not be opened and the trailer-truck could not be parked inside the building. When Farrell arrived, both men attempted to open the door, but to no avail. Concerned about the patrol, Sullivan and Farrell decided to leave the truck next to the warehouse and to go home. As to the next event, the testimony diverged somewhat. Farrell testified that on the way home from the Avon warehouse Sullivan stopped at a pay telephone to call Wahl. According to Farrell, Sullivan told Wahl that they had not been able to get the trailer inside the warehouse, that they had left the truck outside, and that it was up to Wahl to get the trailer-truck into the warehouse. In addition, Farrell testified that after he had picked up his car at Sullivan’s house and gone home, Sullivan telephoned him and told him that he had just spoken to Wahl on the telephone and that he was going to meet with Wahl the next day to try to open the Avon warehouse doors. Sullivan’s testimony contained no reference to these telephone conversations. Sullivan did testify, however, to receiving a telephone call from Wahl early the next morning, June 14, inquiring about the success of the theft. Sullivan told him that they had had problems, and Wahl suggested that rather than discuss them on the telephone he meet him at 9:00 A.M. at his office in Stoughton, Massachusetts. Sullivan complied and met with Wahl and another man. At the meeting, Sullivan told Wahl about the problem with the door to the warehouse and asked Wahl to have it fixed, relying on his understanding with Wahl that he would have continuous access to the warehouse. Sullivan’s testimony is not entirely clear as to Wahl’s response; Wahl said in effect that he would try to have the door fixed but that because the owner of the warehouse did not know that stolen goods were moving in and out of it, Sullivan would have to move the truck. He suggested using the other prearranged “drop” site in Marion, Massachusetts. Sullivan then telephoned Farrell at work to tell him that the doors could not be opened and that Wahl wanted the truck moved from the Avon warehouse. According to Farrell, Sullivan also told him that he was going to see William Daggett about finding someone else to move the truck; at this point neither Farrell nor Sullivan wanted to drive it. Farrell felt that moving the truck was Wahl’s problem. Meanwhile, Wahl had gone to the Avon warehouse to try to fix the door, but was unsuccessful. He then went to Sullivan’s house at about 10:00 or 11:00 A.M. on June 14 and repeated his demand that the truck be moved. Sullivan then telephoned Daggett at his bar, the Geneva Cafe, in Dorchester, Massachusetts, and arranged to meet with him an hour later. Sullivan met with Daggett at about noon, explained about the theft and the problem of moving the truck and asked Daggett to find a driver to drive the truck to Marion. Daggett said he would check around. Sullivan spent the afternoon at his mother’s house and returned to Geneva Cafe later that day. He met with Daggett and Thomas Flaherty outside the cafe. Daggett told Sullivan, in the presence of Flaherty, that he and a potential driver had gone to Avon to look at the truck but that they did not like the situation and would not get involved in moving it. At some time during the day, Sullivan again telephoned Farrell at work to tell him that he had not been able to have the truck moved and that Farrell should come by his house after work. Farrell was at Sullivan’s house in Stoughton when Sullivan returned from his meeting with Daggett and Flaherty. Farrell and Sullivan pondered what to do, and, after a few beers, decided to move the truck themselves. Before they left, Sullivan telephoned Wahl to inform him that they were going to move the truck to Marion and asked him to alert Gunschel that the truck would be coming in. Gunschel was so advised. Farrell and Sullivan arrived at the Avon warehouse at about 5:30 or 6:00 P.M. Farrell drove the truck and Sullivan followed in his car. They arrived in Marion at the Ansel Gurney House in the early evening and were met in the parking lot by Gunschel. The truck was backed up onto the loading platform so that the meat could be easily moved into a large freezer. Farrell broke the lock on the back doors of the trailer, and they opened it to discover that they had stolen only a half rather than a full load of meat. Sullivan and Gunschel then set to work, unloading the meat (Farrell was indisposed by a sore back). Once the meat was safely stored in the freezer, Sullivan counted the boxes (Gunschel segregated a couple for his own use), and Sullivan and Farrell left. Farrell drove the truck away, intending to abandon it along Route 24, heading towards Marion. En route, however, he and Sullivan, who followed in his car, passed a state police speed trap. Worried that the police might be on the lookout for the truck, the pair pulled into the nearest rest stop and left the truck there, where it was found about 2:00 A.M. the next day, June 15. When Sullivan arrived home that night, he found several messages that Daggett had called, and shortly after his return, Daggett called again. Daggett wanted to know what had happened with the truck and told Sullivan that he believed he was entitled to a share of the proceeds of the theft because of his efforts to find a driver for the truck and because he had gone down to Avon to see it. Sullivan refused but agreed to meet with Daggett the next day in Quincy, Massachusetts. Sullivan then telephoned Wahl and told him not to sell the beef the next morning because he had run into some problems. He also telephoned Farrell to report on his conversation with Daggett, specifically that Daggett had gone to the Avon warehouse and was upset that they had moved the truck. On the morning of June 15, Sullivan met with Daggett and Flaherty at a bar on Newport Avenue in Quincy. Daggett insisted that he was entitled to a share of the proceeds because he had tried to help Sullivan and Farrell. Sullivan again rejected the argument, saying that he and Farrell had new partners, but agreed to talk further with Daggett at the Geneva Cafe. The two men, together with Flaherty, then went over to the Cafe. From there Sullivan telephoned Farrell at work and told him of Daggett’s demand; both men repeated to each other their opposition to cutting Daggett in on the deal. Daggett-, however, then took the line from Sullivan and told Farrell that he understood Farrell’s opposition but explained that he had two people in Providence who would sell the load and that he would let Sullivan and Farrell in on future, unspecified business dealings. Sullivan then returned to the line, and Farrell told him to make the decision for them. Sullivan was still inclined to reject Daggett’s demand but, after Daggett reminded him of past favors and Flaherty promised to “make it up” to him, Sullivan succumbed. Shortly after they reached their agreement, the three men were joined by James Kearns. Daggett said that Kearns would contact some persons in Providence, who would probably buy the meat. Sullivan wondered out loud whether Kearns was yet another partner, but Daggett assured him that he would take care of Kearns out of his end. It cannot be determined from the testimony whether or not Kearns heard the remarks of Sullivan and Daggett. Kearns then made a long distance telephone call. Sullivan heard him tell the party on the other end that they had a load of meat and asked whether they could make a deal to sell it. After Kearns hung up, he told the three, Sullivan, Daggett, and Flaherty, that he had a potential buyer but that the buyer needed a list of what was in the load. Sullivan then suggested that they go down to Marion to take an inventory, and he, Daggett, and Flaherty left to do so. They got to the Ansel Gurney House about noon, and, after Flaherty spoke briefly with Gunschel, they took the inventory and left. Before their arrival, Wahl had taken his own inventory. After returning to the Geneva Cafe, they gave Kearns the inventory. He made another telephone call during which he read the list aloud and said he would see the other party later. Kearns then told the three that he had a buyer in Providence. The arrangement was that the Providence people would send a truck up to Boston, which would be met by Kearns and Flaherty, who would then loan the Providence people their car and take the truck to Marion where they would meet Daggett and Sullivan and pick up the meat. Kearns and Flaherty would then drive the truck to Providence where, if the meat was as claimed, they would receive payment and pick up their car for the return trip. Kearns and Flaherty then left the cafe, and, some fifteen minutes later, Daggett and Sullivan drove to Marion. The four men arrived at the Ansel Gurney House about 6:00 or 7:00 P.M. and proceeded to load the meat on the truck. Thé truck was so heavily loaded that there was some concern whether Kearns and Flaherty would be able to make it to Providence, but they drove off without incident. Sullivan put four or five boxes of beef in his car, and he and Daggett left. Sullivan and Daggett drove to Farrell’s house in Raynnam, Massachusetts. Daggett recounted their disposition of the meat and told Farrell to meet him at Howard Johnson’s at 4:00 P.M. the next day to get paid. Sullivan gave Farrell a box of beef, then drove Daggett back to the Geneva Cafe, gave him two boxes of beef, and went home. The next morning, June 16, Sullivan spoke with Wahl on the telephone. Wahl said that he, Wahl, was supposed to sell the meat. Sullivan replied that something beyond his control had come up and that someone else had gotten the meat but that Wahl would be taken care of. That afternoon, Sullivan and Farrell went to Howard Johnson’s. According to Sullivan, he and Farrell met at the V.G. Tavern after Farrell finished work, and they went to Howard Johnson’s together. Farrell did not remember, however, whether he was with Sullivan or not. In any event, both men met Daggett at the swimming pool at Howard Johnson’s. Sullivan remembered seeing Kearns at the bar. Daggett went inside and returned with a paper bag that contained $5,800 for Farrell and Sullivan to split. Both complained about the small amount of money, but Daggett said that the marking and weights on some of the boxes were wrong and that there were various other expenses, including the truck rental and payments to Kearns, Flaherty, and Wahl. Having no recourse, the two left. Sullivan and Farrell were subsequently charged with several other crimes and convicted. In return for grants of immunity for the crime at issue here and other offenses and for support and protection for themselves and their families under the Justice Department’s Witness Protection Program, Sullivan and Farrell testified before a federal grand jury in November, 1979, concerning this crime. Gunschel also testified before the grand jury. On July 16, 1980, the grand jury returned an indictment charging Daggett, Flaherty, Kearns, and Wahl with one count of conspiracy to receive and possess stolen goods in violation of 18 U.S.C. § 371 and one count of receipt and possession of stolen goods in violation of 18 U.S.C. §§ 659 and 2. After an eleven-day jury trial, all defendants were convicted for violating 18 U.S.C. §§ 371 and 659, but were acquitted of the aiding and abetting charge, 18 U.S.C. § 2. Daggett and Flaherty received two-year prison sentences, Kearns received an eighteen-month sentence, and Wahl received a suspended sentence of eighteen months and was placed on probation for two years. Flaherty, Kearns, and Wahl have appealed. Daggett died subsequent to trial. I. The Sufficiency of the Evidence We turn first to Kearns’s claim that the evidence did not prove that he knew the beef was stolen. An essential element of the crimes of both receipt and possession of stolen goods under 18 U.S.C. § 659 and conspiracy to receive and possess stolen goods under 18 U.S.C. §§ 371 and 659 is knowledge that the goods were stolen. United States v. Sclamo, 578 F.2d 888, 891 (1st Cir. 1978). Guilty knowledge may be shown by circumstantial evidence, as well as by direct evidence. See United States v. Kilcullen, 546 F.2d 435, 441 (1st Cir. 1976). Circumstantial evidence tending to show guilty knowledge need not compel a finding of such knowledge in order to sustain a conviction; all that is necessary is that reasonable jurors could be convinced beyond a reasonable doubt that the defendants had guilty knowledge. Id. at 441 (citing cases). The jury is “free to choose among various reasonable constructions of the evidence.” United States v. Gabriner, 571 F.2d 48, 50 (1st Cir. 1978) citing United States v. Klein, 522 F.2d 296, 302 (1st Cir. 1975). Turning to the evidence, we find that the following facts were presented with respect to appellant Kearns’s knowledge: (1) Kearns was present in the Geneva Cafe when Sullivan asked Daggett if Kearns was another partner; (2) Kearns made a long distance telephone call to a prospective buyer, who wanted a list of the beef available; (3) Kearns transmitted the request to Sullivan, Daggett, and Flaherty; (4) Kearns made another telephone call, reporting the inventory of beef and making a deal; (5) Kearns, together with Flaherty, picked up a rental truck when they drove down to Marion to pick up the beef and then to Providence where they completed the sale; (6) Kearns was nearby when Sullivan and Flaherty were paid; (7) Kearns had to be paid out of the proceeds of the sale of the beef. Kearns stresses the absence of a direct evidence that he .was told in the Geneva Cafe that the beef was stolen. When Kearns’s actions are viewed in totality, however, the jury could conclude beyond a reasonable doubt that he was aware of the illicit nature of the goods. Kearns negotiated the sale in unusual circumstances, the beef was stored temporarily in a restaurant freezer, and Kearns arranged to transport the beef to Providence, in a complicated way. The handling of the beef and the completion of the sale in such a covert way were circumstantial evidence sufficient to raise the inference that Kearns was aware that the goods were stolen. Cf. United States v. Kilcullen, 546 F.2d at 442 (bizarreness of transaction one factor indicating defendant’s guilty knowledge); United States v. Marquez, 462 F.2d 620, 621 (9th Cir. 1972) (per curiam), cert. denied, 413 U.S. 921, 93 S.Ct. 3069, 37 L.Ed.2d 1043 (1973) (defendant’s negotiation of sale of stolen goods one factor demonstrating guilty knowledge). The cases cited by appellants in support of their contention, United States v. Gabriner, 571 F.2d 48 (1st Cir. 1978) and United States v. Forrest, 620 F.2d 446 (5th Cir. 1980), dealt with defendants whose connection with the crime was far more attenuated than here. Flaherty and Wahl have adopted by reference Kearns’s argument that the evidence failed to establish knowledge of theft of the beef. Wahl’s argument is obviously without merit: Sullivan told him the meat was stolen. The circumstantial evidence pointing to Flaherty’s knowledge is even stronger than that regarding Kearns’s: Flaherty was present at and participated in the conversations with Sullivan and Daggett and with Sullivan, Daggett, and Kearns concerning disposition of the meat, Flaherty helped to inventory the beef, and Flaherty participated in sending the beef to Providence. This evidence shows that he was aware of the peculiar circumstances surrounding the beef, and the jury could properly infer knowledge that it had been stolen from it. A second ground — the recent theft doctrine — also justifies a determination that Kearns knew that the beef was stolen. As enunciated in Wilson v. United States, 162 U.S. 613, 619, 16 S.Ct. 895, 898, 40 L.Ed. 1090 (1896), the doctrine is that: Possession of the fruits of crime, recently after its commission, justifies the inference that the possession is guilty possession, and, though only prima facie evidence of guilt, may be of controlling weight unless explained by the circumstances or accounted for in some way consistent with innocence, (citation omitted). See United States v. Barnes, 412 U.S. 837, 843-46, 93 S.Ct. 2357, 2361-63, 37 L.Ed.2d 380 (1976); United States v. Brawer, 482 F.2d 117, 124-27 (2d Cir. 1973), cert. denied, 419 U.S. 1051, 95 S.Ct. 628, 42 L.Ed.2d 646 (1974); United States v. Jacobs, 475 F.2d 270, 281 (2d Cir.), cert. denied, 414 U.S. 821, 94 S.Ct. 116, 38 L.Ed.2d 53 (1973). Both Kearns and Flaherty had such dominion and control over the beef when they transported it to Providence as to amount to possession of the recently stolen beef. See United States v. Marquez, 462 F.2d at 621 (participation in sale and delivery of stolen goods constitutes constructive possession under 18 U.S.C. § 659). Because no alternative explanation of the possession was offered, the jury could reasonably have inferred that Kearns and Flaherty knew that the meat was stolen. Appellant Flaherty challenges his conviction under Count One of the indictment on the ground that there was insufficient evidence to establish that he joined the conspiracy. Flaherty has not indicated precisely the element or elements of conspiracy that he contends were not proved as to him, but they appear to be knowledge of the agreement, actual agreement, and intent to commit the crime of receiving stolen property. “[T]he gist of conspiracy is an ‘agreement to disobey or to disregard the law.’ Moreover, ‘a conviction cannot be sustained unless the Government establishes beyond a reasonable doubt that the defendant had the specific intent to violate the substantive statute.’ ” United States v. Mora, 598 F.2d 682, 683 (1st Cir. 1979), quoting United States v. Cangiano, 491 F.2d 906, 909 (2d Cir.), cert. denied, 419 U.S. 904, 95 S.Ct. 188, 42 L.Ed.2d 149 (1974). Two types of intent must be proved: intent to agree and intent to commit the substantive offense. United States v. United States Gypsum Co., 438 U.S. 422, 443 n.20, 98 S.Ct. 2864, 2877 n.20, 57 L.Ed.2d 854 (1978). The actual agreement must also be proved, and it may be shown solely by circumstantial evidence. United States v. Borelli, 336 F.2d 376, 384 (2d Cir. 1964), cert. denied, 379 U.S. 960, 85 S.Ct. 647, 13 L.Ed.2d 555 (1965); see Iannelli v. United States, 420 U.S. 770, 777 n.10, 95 S.Ct. 1284, 1289 n.10, 43 L.Ed.2d 616 (1975). We conclude that there was sufficient evidence to support Flaherty’s conviction on the conspiracy count. Flaherty was with Daggett when Daggett persuaded Farrell and Sullivan to cut Daggett and himself in on the deal. Sullivan testified that Flaherty participated in the discussion by promising him that he and Farrell would receive favors in the future. Flaherty also heard Kearns’s report of his conversation with the prospective buyer in Providence and participated in taking inventory of the beef. He later accompanied Kearns to pick up the rental truck, helped to load the beef into the truck, and drove it down to Providence with Kearns. From this evidence, the jury could quite reasonably have inferred that Flaherty intended to receive and possess the stolen beef and that he intended to and did enter into an agreement with others to do so. These facts do not present a situation where Flaherty was merely in the presence of one of the other wrongdoers. See United States v. Mehtala, 578 F.2d 6, 10 (1st Cir. 1978). He took an active role in the disposition of the beef, and the jury could quite properly find that he joined the conspiracy. Appellant Wahl’s evidentiary attack on his conviction comes before us as an attack on the trial court’s refusal to instruct the jury on multiple conspiracies. Wahl argues that the theory of his defense was multiple conspiracies and that the trial court’s refusal so to instruct made it impossible for the jury to assess conflicting evidence properly. Alternatively, Wahl argues that the trial court’s refusal to order the Government to immunize him from other offenses denied him due process by precluding him from testifying that he was involved only in those other offenses and not in the conspiracy here. With respect to jury instructions, it is the rule in this court that [i]t is reversible error for the court to refuse a request to instruct as to defendant’s theory of the case if there is evidence to support it .... The rule is equally applicable to situations where special facts present an evidentiary theory which if believed would defeat the factual theory of the prosecution. .. . However, the defendant must tender an instruction that is appropriate in form and substance. . . . Where he fails to accomplish this, the court is not obligated to give an instruction unless a particularly sensitive defense is involved ... or the facts adduced at trial are so complex and confusing that an understanding of the issues would be beyond the grasp of the jury. United States v. Leach, 427 F.2d 1107, 1112-13 (1st Cir.), cert. denied, 400 U.S. 829, 91 S.Ct. 57, 27 L.Ed.2d 59 (1970) (citations omitted). Wahl’s requested instruction reads as follows: The Government must prove the particular conspiracy charged. That is, if you find two or more separate conspiracies then you must acquit all defendants. According to Wahl, this instruction was intended to assist the jury in weighing the evidence, specifically in evaluating Wahl’s claim that he was involved in conspiracies with Sullivan and Farrell to steal a load of fish but not in the conspiracy here involving beef. We must consider whether the requested instruction met the two Leach tests of supporting evidence and appropriate form and substance. Wahl points to the cross-examination of Farrell as the source of sufficient supporting evidence. Farrell testified that he and his partner had obtained a load of fish from a truck driver and that “Stuart [Wahl] was . .. supposed to off-load [sic] the fish load.” This testimony, although minimal, was sufficient to suggest that Wahl was involved in a separate conspiracy with Farrell concerning a load of fish. We turn, then, to consider whether the requested instruction was in a form that appropriately pointed out this possible second conspiracy. We agree with the Second Circuit’s decision in a similar situation and hold that it was not. See United States v. Tramunti, 513 F.2d 1087 (2d Cir.), cert. denied, 423 U.S. 832, 96 S.Ct. 54, 46 L.Ed.2d 50 (1975). As the Second Circuit observed, “[t]he request ... to charge that if multiple conspiracies had been proven then the Government has failed to prove the single conspiracy alleged in the indictment and there must be acquittal, fails to take into account the very real possibility that one of the proven conspiracies was the single conspiracy charged.” Id. at 1107 (emphasis in original). Wahl’s requested instruction misinterprets the doctrine of variance. Variance occurs when the facts proved at trial are different than those alleged in the indictment. Variance in the proof is grounds for reversal only when it affects the defendant’s “substantial rights.” Berger v. United States, 295 U.S. 78, 82, 55 S.Ct. 629, 630, 79 L.Ed. 1314 (1935); United States v. Tremont, 429 F.2d 1166, 1169 n.5 (1st Cir.), cert. denied, 400 U.S. 831, 91 S.Ct. 63, 27 L.Ed.2d 63 (1970). “Substantial rights” is a term meant to provide two basic protections to the defendant: that he have sufficiently specific information about the charges against him so that he can prepare an effective defense and will not be surprised at trial and that he not be subject to another prosecution for the same offense. Berger v. United States, 295 U.S. at 82, 55 S.Ct. at 630; United States v. Calabro, 467 F.2d 973, 983 (2d Cir. 1972), cert. denied, 410 U.S. 926, 93 S.Ct. 1357, 35 L.Ed.2d 587 (1973). In appropriate cases, the doctrine of variance also includes protection against the possibility of a prejudicial “spillover” effect, see United States v. Toliver, 541 F.2d 958, 962-63 (2d Cir. 1976); United States v. Perez, 489 F.2d 51, 60 (5th Cir. 1973), cert. denied, 417 U.S. 945, 94 S.Ct. 3067, 41 L.Ed.2d 664 (1974). In a case involving several defendants, the court must take care that evidence against one defendant is not misinterpreted by the jury and used as the basis for convicting another defendant not connected to the evidence. If the Government proves more conspiracies than the one charged in the indictment, a defendant involved in one conspiracy may not be convicted on the basis of evidence that relates only to a separate conspiracy. In evaluating whether convictions were the result of such confusion on the part of the jury, the reviewing court must look to the number of defendants involved and the trial judge’s efforts to reduce the possibility of “spillover.” See, e.g., Kotteakos v. United States, 328 U.S. 750, 766-74, 66 S.Ct. 1239, 1248-52, 90 L.Ed. 1557 (1946)(number of defendants); Blumenthal v. United States, 332 U.S. 539, 560, 68 S.Ct. 248, 257, 92 L.Ed. 154 (1947)(trial judge’s instructions). The instruction submitted by Wahl assumed that if the jury found that more than one conspiracy existed, its decision would reflect a fatal variance; it would be based on facts mistakenly ascribed to the wrong defendants. We do not agree. The jury could have found a second conspiracy involving Wahl, Sullivan, and Farrell regarding a load of fish, but this finding would not have interfered in any way with a finding of the conspiracy charged between Wahl, Sullivan, Farrell, Daggett, Flaherty, and Kearns regarding a load of beef. The indictment gave Wahl sufficient notice of the facts involving the meat theft that the Government proved at trial. In addition, the Government presented sufficient evidence to convict Wahl of conspiracy to receive and possess the beef. His conviction could not, therefore, have been based on the fish conspiracy which might later give rise to a prosecution. With respect to any “spillover” effect, we find no prejudice. Only four defendants were tried together for offenses involving one load of beef, so the jury was unlikely to confuse events and defendants. Moreover, the trial court specifically instructed the jury to consider each of the defendant’s cases separately and to consider-only the evidence introduced as to each defendant. Finally, Wahl’s requested instruction was inappropriate for a second reason. It was an all-or-nothing instruction requiring acquittal of all defendants even if only one was shown not to be involved in the conspiracy. This result is “wholly erroneous.” United States v. Estrada, 441 F.2d 873, 878 (9th Cir. 1971). See United States v. Kelly, 349 F.2d 720, 757-58 (2d Cir. 1965), cert. denied, 384 U.S. 947, 86 S.Ct. 1467, 16 L.Ed.2d 544 (1966). Our review of the evidence convinces us that it was sufficient to sustain the convictions of all defendants. II. The Indictment Appellants next attack their convictions on the grounds that they were the product of an invalid indictment because it was based on perjured testimony. We begin with the commonplace that “[a]n indictment returned by a legally constituted and unbiased grand jury, ... if valid on its face, is enough to call for trial of the charge on the merits.” Costello v. United States, 350 U.S. 359, 363, 76 S.Ct. 406, 408, 100 L.Ed. 397 (1956). See Lawn v. United States, 355 U.S. 339, 349-50, 78 S.Ct. 311, 317-18, 2 L.Ed.2d 321 (1958). A grand jury may consider incompetent evidence but cannot itself violate a constitutional privilege. United States v. Calandra, 414 U.S. 338, 346, 94 S.Ct. 613, 619, 38 L.Ed.2d 561 (1974). In a particular case, however, it is within the discretion of the trial court to dismiss an indictment if it is based on incompetent or illicit evidence. E.g., Truchinski v. United States, 393 F.2d 627, 632 (8th Cir.), cert. denied, 393 U.S. 831, 89 S.Ct. 104, 21 L.Ed.2d 103 (1968); United States v. Tane, 329 F.2d 848, 853 (2d Cir. 1964); Carrado v. United States, 210 F.2d 712, 717 (D.C.Cir. 1953), cert. denied, 347 U.S. 1018, 74 S.Ct. 874, 98 L.Ed. 1140 (1954). To a lesser extent, the court of appeals has the supervisory power to make similar dismissals, United States v. Basurto, 497 F.2d 781, 793-94 (9th Cir. 1974) (Hufstedtler, J., concurring); United States v. Estepa, 471 F.2d 1132, 1136 (2d Cir. 1972), but it will reverse the trial court only for abuse of discretion. United States v. Tane, 329 F.2d at 853. The use of perjured testimony before a grand jury has proved troublesome to other circuits, compare United States v. Basarte, supra, with United States v. Bracy, 566 F.2d 649, 654-56 (9th Cir. 1977), cert. denied, 439 U.S. 818, 99 S.Ct. 79, 58 L.Ed.2d 109 (1978), but the instant case presents the issue to this court for the first time. Appellants urge that United States v. Basurto supplies a rule on perjured testimony appropriate for this court and this case. The Government argues, however, that United States v. Basurto has been eroded by .subsequent cases in the Ninth Circuit and that the sounder view places few restrictions on the presentation of evidence to the grand jury- The rule announced in Basurto was that a defendant may not be tried “on an indictment which the government knows is based partially on perjured testimony, when the perjured testimony is material, and when jeopardy has not attached.” United States v. Basurto, 497 F.2d at 785. When a witness changed his grand jury testimony in a way harmless to the defendant and when defense counsel was aware of the change but failed to move to dismiss before trial, however, the Ninth Circuit refused to hold the indictment invalid. United States v. Bowers, 534 F.2d 186, 193 (9th Cir.), cert. denied, 429 U.S. 942, 97 S.Ct. 360, 50 L.Ed.2d 311 (1976). In a case not involving perjured testimony, the Ninth Circuit later suggested that “only in a flagrant case, and perhaps only where knowing perjury, relating to a material matter, has been presented to the grand jury should the trial judge dismiss an otherwise valid indictment .. .. ” United States v. Kennedy, 564 F.2d 1329, 1338 (9th Cir. 1977), cert. denied, 435 U.S. 944, 98 S.Ct. 1526, 55 L.Ed.2d 541 (1978). In United States v. Bracy, 566 F.2d at 654-56, the Ninth Circuit distinguished Basurto on its facts and noted defense counsel’s failure to move to dismiss in timely fashion but also suggested that the Basurto rule had been limited by United States v. Agurs, 427 U.S. 97, 96 S.Ct. 2392, 49 L.Ed.2d 342 (1976), a decision that characterized material evidence as evidence creating, a reasonable doubt that did not otherwise exist. On the facts before us, we do not decide whether to adopt any of the Ninth Circuit’s rules, or, indeed, any other rule. The perjured testimony in the instant case consisted of Gunschel’s testimony relating to a lease of the freezer at the Ansel Gurney House where the beef was stored and to his recollection of how many people brought the stolen beef to the freezer and who took inventory of it. Before the grand jury, Gunschel testified that a James Henderson had signed a lease that Wahl had given Gunschel for the freezer and that he had seen Daggett at some point but that he did not remember where. At trial, Gunschel admitted that these statements were fabrications: Gunschel had himself signed the fictitious name of James Henderson to the lease and Gunschel did remember more specifically that he had seen Daggett at the freezer. Even were we to adopt the Basurto rule, these falsehoods are not sufficiently material, even under the most lax standard of materiality. The evidence of the dealings between Wahl and Sullivan connected Wahl to the conspiracy to dispose of the stolen beef in such a way that the nature of the lease of the freezer from Gunschel is irrelevant. Indeed, the lease appears to relate to the other supposed conspiracies between Wahl, Gunschel, Farrell, and Sullivan involving fish. The perjury surrounding the identification of Daggett was similarly immaterial in that it did not bear on the other evidence of dealings between Flaherty, Kearns,.Wahl, Sullivan, and Farrell. III. Discovery Orders and Failure to Disclose Exculpatory Evidence Appellants contend that they were deprived of a fair trial because the Government failed to comply with discovery orders issued by the magistrate and because the Government failed to make timely disclosure of exculpatory evidence in violation of Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963) and its progeny. The Government responds that it did comply with the magistrate’s orders and with Brady and acknowledges that it did not comply with the magistrate’s order to turn over portions of its investigative file at the close of its case in chief but argues that this order was pioperly reversed by the trial court. We turn first to the most difficult question presented here, the trial court’s reversal of the magistrate’s order that the Government disclose the information in its investigative file “directly applicable” to Kearns, Flaherty, and Daggett at the close of the Government’s case in chief. The magistrate issued the order on September 3, 1980. The Government refused to comply with the order. After the Government had presented its case, defendants moved that the trial court compel the Government to make the ordered disclosure. The court denied the motion on the grounds that the magistrate did not have jurisdiction to make orders to become effective during the course of trial. The jurisdiction of United States magistrates in Massachusetts is set forth in 28 U.S.C. § 636 and in the Rules for United States Magistrates in the United States District Court for the District of Massachusetts. The magistrates are empowered to hear a variety of pretrial matters; decisions they make may generally be classified as either self-operating or non-self-operating. See Webb v. Califano, 468 F.Supp. 825, 828 (E.D.Cal.1979). This distinction arises because magistrates are generally authorized to hear and determine all pretrial procedural and discovery motions, 28 U.S.C. § 636(b)(1)(A); Magistrates Rules 2, 7, but are authorized to make only proposed findings and recommendations after hearing certain motions. The district court must approve these findings in order for them to become final. 28 U.S.C. § 636(b)(1); Magistrates Rule 3. Speaking broadly, the rationale for this distinction is that only an Article III court, not a magistrate, may constitutionally enter a final judgment; a magistrate is, therefore, authorized to make only those determinations that do not constitute final judgments. See Reed v. Board of Election Commissioners, 459 F.2d 121, 123 (1st Cir. 1972). The practical effect of the distinction between self-operating and non-self-operating decisions is that a self-operating order is valid when made and a party objecting to it must appeal the order to the district court within ten days, Magistrates Rule 2(b), whereas a non-self-operating order is not valid until entered by the district court. Thus, a non-self-operating order will be reviewed to some degree even though no party files timely objections within ten days as required under 28 U.S.C. § 636(b)(1), Webb v. Califano, 468 F.Supp. at 829-30. Although a party may not object to a self-operating order after the ten-day period has passed, the District Court of Massachusetts may reconsider any order sua sponte at any time. Magistrates Rule 2(b). The discovery order at issue here was a valid, self-operating order. Although the Government failed to object to the order within the required ten-day period, the trial court had the right to reconsider the order sua sponte. Having determined that the trial court could review the order, we turn to the merits of the trial court’s decision. We note at the outset that under Federal Rule of Criminal Procedure 52(a), “[a]n error in administering discovery rules is not reversible unless it is shown that the error was prejudicial to the substantial rights of the accused.” United States v. Harris, 542 F.2d 1283, 1291 (7th Cir. 1976) (citations omitted). Accord, United States v. Haldeman, 559 F.2d 31, 78 n.112 (D.C.Cir.1976); United States v. Owen, 492 F.2d 1100, 1110 (5th Cir.), cert. denied, 419 U.S. 965, 95 S.Ct. 227, 42 L.Ed.2d 180 (1974); Hansen v. United States, 393 F.2d 763, 770 (8th Cir.), cert. denied, 393 U.S. 833, 89 S.Ct. 103, 21 L.Ed.2d 103 (1968). Appellants have made no showing in this case that their substantial rights were in any way prejudiced by the nondisclosure of the Government’s investigative file. They had no statutory right to the material, and other orders had met the appellants’ constitutional right to exculpatory evidence. We, therefore, find no grounds for reversing the trial court, even if the court erred in denying appellants’ motion to compel compliance with the magistrate’s order. See United States v. Pantohan, 602 F.2d 855, 858 (9th Cir. 1979) (harmless error for trial court to fail to make “clearly erroneous” or “contrary to law” finding, as required under 28 U.S.A. § 636(b)(1)(A), when overturning magistrate’s order). We do not decide the question whether a magistrate may issue a discovery order that becomes effective during trial. The question seems unlikely to arise often because, at least under the Magistrates Rules in Massachusetts, the trial court will always be able to review such orders, and we assume that in the future the Government will make timely objection to a self-operating order on the merits. We note, nevertheless, that the trial court’s opinion that the magistrate’s jurisdiction of “pretrial matters” under 28 U.S.C. § 636(b)(1)(A) means matters occurring and ending before trial commences seems to run contrary to the suggestion in the Federal Rules of Criminal Procedure that pretrial motions are motions capable of determination without trial of the general issue. Fed. R.Crim.P. 12(b). A pretrial matter within the magistrate’s jurisdiction would thus seem to be a matter unconnected to issues litigated at trial and not defined with respect to the time of the trial. Appellants also argue that the Government failed to make other required discovery under unchallenged discovery orders and under Brady. According to appellants, three pieces of evidence in particular were not disclosed or were not disclosed on time: the alleged promises of the Government not to oppose Farrell’s and Sullivan’s motions for sentence reduction, Gunschel’s perjurious statements before the grand jury, and inconsistencies in the testimony of Farrell and Sullivan. The Government replies that there were no promises not to oppose Farrell’s and Sullivan’s motions (and that otherwise promises to Farrell and Sullivan were fully disclosed), that Gunschel’s perjury was neither material nor exculpatory, and that the inconsistencies between Farrell and Sullivan were not material. The pertinent provision of the magistrate’s discovery order granted appellants’ motion that was styled “Joint Motion for Exculpatory Evidence” and noted , that “[t]he government has the continuing duty to furnish exculpatory evidence throughout the trial.” The appellants’ motion asked in relevant part for a “full and complete statement of all promises, rewards, and/or inducements of any kind made by the government ... to induce or encourage the giving of testimony or information and made to . . . any prospective witness whom the Government intends to call at the trial.... ” and for “[a]ny evidence which may be used to impeach or discredit any witness the government intends to call at the trial . . ., particularly, but not exclusively, inconsistent statements of a witness or between witnesses. . .. ” The motion asked for the material prior to trial. At trial, appellants complained about the Government’s delay in furnishing statements of promises or rewards, but the trial court ruled that disclosure of each statement as to a witness before that witness testified would satisfy discovery requirements. Appellants later moved for mistrials on the ground that complete statements of promises or rewards had not been supplied to them. The trial court denied these motions. With respect to Gunschel’s perjury, the trial court agreed with appellants that the Government should have disclosed it earlier but declined to prohibit Gunschel from testifying or to dismiss the indictment and, as a sanction, ruled that Gunschel not be allowed to testify to any prior identifications. Appellants also moved to dismiss on the grounds that the Government had failed to disclose the inconsistencies between Farrell’s and Sullivan’s statements. This motion, too, was denied. Our .starting point in analyzing appellants’ claims is United States v. Agurs, 427 U.S. 97, 96 S.Ct. 2392, 49 L.Ed.2d 342 (1976), which classified three different disclosure obligations on the part of the Government in a criminal prosecution. First, if the prosecution’s case includes undisclosed perjury that the prosecution knew or should have known of, and “if there is any reasonable likelihood that the false testimony could have affected the judgment of the jury,” the conviction must be set aside. Id. at 103, 96 S.Ct. at 2397, citing Mooney v. Holohan, 294 U.S. 103, 55 S.Ct. 340, 79 L.Ed. 791 (1935). Second, if defendant makes a pretrial request for specific evidence that goes unfulfilled (or unchallenged) and if the suppressed evidence “might have affected the outcome of the trial,” the conviction must also be overturned. Id. at 104, 55 S.Ct. at 340, citing Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963). A prosecutor’s failure to respond to a specific and relevant request is “seldom, if ever excusable.” Id. at 106, 55 S.Ct. at 340. Finally, if no request or only a general request for evidence is made, and “if the omitted evidence creates a reasonable doubt that did not otherwise exist,” the conviction must be reversed. Id. at 112, 55 S.Ct. at 341. “[T]he omission must be evaluated in the context of the entire record. If there is no reasonable doubt about guilt whether or not the additional evidence is considered, there is no justification for a new trial. On the other hand, if the verdict is already of questionable validity, additional evidence of relatively minor importance might be sufficient to create a reasonable doubt.” Id. at 112-13, 55 S.Ct. at 341-42 (footnote omitted). See also United States v. Imbruglia, 617 F.2d 1, 4-5 (1st Cir. 1980). The evidence at issue here falls into the first (Gunschel’s perjury) and second (alleged promises and inconsistencies in testimony) categories. The perjury and the inconsistencies in testimony came out at trial. Although the Government cannot exactly be said to have disclosed this information, the question before us concerning this evidence is not the usual question of suppression or nondisclosure of evidence but whether the time at which appellants learned of this evidence was so late as to deprive them of due process. See United States v. Pollack, 534 F.2d 964, 973 (D.C.Cir.), cert. denied, 429 U.S. 924, 97 S.Ct. 324, 50 L.Ed.2d 292 (1976); United States v. Elmore, 423 F.2d 775, 779 (4th Cir. 1970); United States v. Deutsch, 373 F.Supp. 289, 290-91 (S.D.N.Y.1974). The Government’s alleged promises not to oppose the sentence reduction motions present the question of the propriety of suppression or nondisclosure of evidence. The Government insists that no promises were made as part of their plea bargaining not to oppose Farrell’s and Sullivan’s motions for sentence reduction, which were granted. The substance of the bargains was otherwise disclosed. Appellants base their argument that such promises were made on Sullivan’s testimony that his lawyer told him before the sentence reduction hearing that the Government would not oppose the motion. Farrell testified only that the Government did not oppose his motion, but, appellants contend, given Farrell’s incorrect testimony on other elements of his plea bargain and the likelihood that Farrell and Sullivan would be treated similarly, the Government must also have promised not to oppose his motion for reduction of sentence. We believe that the Government must have made a conscious decision not to oppose Farrell’s and Sullivan’s motions, see United States v. Sockel, 368 F.Supp. 97, 97-98 (W.D.Mo.1973) (motion granted because Government failed to oppose), and that that decision was communicated to counsel for Sullivan. The evidence does not indicate, though, whether the decision was made to induce or encourage Farrell or Sullivan to testify, which would have made it discoverable under the magistrate’s order. Nevertheless, even if the Government had promised not to oppose the motions, the failure to disclose these promises does not constitute reversible error. The Government’s possible delinquency here is one of those rare instances where failure to disclose or otherwise to respond is excusable, see United States v. Agurs, 427 U.S. at 106, 96 S.Ct. at 2398. When the plea bargains with Farrell and Sullivan are viewed in their entirety, the elements omitted here had comparatively little significance, and we cannot say they might have affected the outcome of the trial. The appellants were apprised of all of the other promises made to Farrell and Sullivan in return for their testimony. Appellants were able to cross-examine Farrell and Sullivan at length concerning the promises disclosed. Thus, even if they had been able to cross-examine on the basis of the promises not to oppose the reduction motions, appellants’ attack on the witnesses’ credibility would have been cumulative. Moreover, as we have noted before, evidence of Government promises to treat witnesses leniently, which is the nature of the promises not to oppose the reduction motions, has less impeaching impact than evidence of promises not to prosecute, which was disclosed here. See United States v. Bynum, 567 F.2d 1167, 1170 (1st Cir. 1978). We turn to consider the question of timing of the disclosure of Gunschel’s perjury and the inconsistent statements of Farrell and Sullivan. In evaluating a challenge to the timing of disclosure, we must make a two-step inquiry. See United States v. Strahl, 590 F.2d 10, 13 (1st Cir. 1978), cert. denied, 440 U.S. 918, 99 S.Ct. 1237, 59 L.Ed.2d 468 (1979). First, we must determine whether the disclosed evidence was material within the meaning of the appropriate Agurs standard because, if it were not, even its nondisclosure would not be reversible error. If the evidence was material, we turn to the second step, whether defendant was able to use the disclosed material effectively in preparing and presenting his case. United States v. Pollack, 534 F.2d at 973. Although perjury comes within the first category of Agurs rather than the second, as does requested exculpatory evidence, the same standard governing the timing of disclosure should apply to perjury as applies to inconsistent statements. Where material evidence of perjury or other exculpatory facts come out at trial, the jury can take it into account. We need not attempt to estimate its probable effect on the jury or to construct a standard to reflect that impact when the evidence is not disclosed. The problem of the timing of disclosure of that evidence is the same for defendant no matter how the material is classified: timing of disclosure affects preparation and presentation of the case. Whether the timing prevents effective presentation and preparation, the standard we must apply, will vary greatly depending on the contents of the material in the context of the case, but whether the material is classified as perjury or requested or unrequested exculpatory evidence will be irrelevant. The factors we will look to in determining whether the timing of disclosure interfered with effective preparation and presentation include the time between disclosure and defendant’s use of the evidence and the impact the disclosed evidence had on other evidence at trial. Appellants assert that the evidence of inconsistent statements and perjury was revealed too late for them to prepare for trial. In particular, counsel for Kearns argues that knowledge of Farrell’s statements inconsistent with Sullivan’s and of Gunschel’s perjury was vital to his trial strategy. According to counsel for Kearns, Sullivan was the only witness to link Kearns directly with the crimes, and counsel decided not to cross-examine him on the theory that Farrell and Gunschel would contradict him. Had counsel known of the inconsistencies and perjury prior to the time Sullivan, the first principal witness, testified, counsel would have cross-examined him, but this evidence did not come out until after Sullivan had left the stand. Kearns’s trial strategy was, it is argued, destroyed. The trial court offered to recall Sullivan so that counsel could cross-examine him, but counsel for Kearns declined on the grounds that the recall would call attention to Sullivan in the way he was trying to avoid. Appellants identify two pieces of inconsistent testimony about which they complain. First, they note that Farrell’s testimony was that when Daggett and Sullivan came to his house with some beef after the remainder had been sent to Providence, Daggett said that he and Flaherty had transported the meat to Providence. Sullivan testified, though, that Kearns and Flaherty had driven the beef to Providence. Second, they point out that Farrell testified that he alone had picked up the money from the beef sale at Howard Johnson’s, but that Sullivan testified that he had accompanied Farrell. In addition, Sullivan testified to having seen Kearns at the bar at Howard Johnson’s; Farrell’s testimony made no such reference. Furthermore, Farrell testified that when Daggett made the payoff, Daggett said that Wahl and Kearns had to be paid as well; Sullivan’s testimony was that Daggett had mentioned only Wahl’s name. The Government claims that there were no material inconsistencies between Farrell’s and Sullivan’s pretrial statements but does concede that their trial testimony varied at times, for example, with respect to the payoff at Howard Johnson’s. Upon examination of the record, we find a further inconsistency in the testimony of Farrell and Sullivan. Farrell testified that after he and Sullivan had left the truck at the Avon warehouse, Sullivan had telephoned Wahl and told him about their inability to get the truck into the warehouse. Farrell also testified that later that night, Sullivan telephoned him at home and told him he was going to meet Wahl the next day to try to open the warehouse doors. Sullivan’s testimony contained no reference to these conversations. For purposes of our discussion, we will assume that these inconsistencies reflected inconsistencies in the pretrial statements, which was the evidence requested. We must first consider whether this evidence was material within the appropriate meaning of Agurs, i.e., whether it might have affected the outcome of the trial. See United States v. Strahl, 590 F.2d at 13. Considered as substantive evidence, the inconsistencies bear on Kearns’s and Wahl’s involvement in the crime. The inconsistent testimony is at best cumulative as to Wahl because other uncontradicted testimony about his conversations and dealings with Sullivan fully established his participation in the crimes. With respect to Kearns, Sullivan and Farrell contradicted each other twice about Kearns’s involvement, but each remembered Kearns’s involvement at one of those times, so neither witness really exculpated Kearns. Moreover, Sullivan’s other uncontradicted testimony established Kearns’s involvement. Considered as impeaching evidence, these inconsistencies undermined the credibility of Farrell and Sullivan. Yet given appellants’ opportunity to cross-examine both witnesses on a variety of other impeaching matters, and the substantial agreement of their testimony, whatever additional cross-examination might have been afforded by earlier disclosure of Farrell’s statements could not have affected the outcome of the trial. Even if some of the inconsistencies might be deemed material, under our second inquiry the supposed delay in their production did not prevent defendants from preparing and presenting their cases effectively. Copies of Farrell’s pretrial statements were given to defense counsel four days before Farrell testified and a few days after Sullivan had testified. Appellants were able to cross-examine Farrell on the inconsistencies. The only prejudice was to their ability to cross-examine Sullivan. Assuming arguendo that Kearns’s counsel was justified in declining to have Sullivan recalled because it would have been at least equally prejudicial to Kearns’s case, the cross-examination that would have been possible had the inconsistencies been known earlier would not have detracted much from Sullivan’s testimony. The testimony attacked would have been Sullivan’s recollection that Kearns had driven the truck with Flaherty to Providence and that Kearns had been in the Howard Johnson’s bar on the afternoon of the payoff. As to the first piece of testimony, Kearns had only Farrell’s hearsay testimony to use against Sullivan’s eyewitness testimony. As to the second, the fact that Kearns was in the bar was insignificant compared to the other facts establishing his involvement in the crime and even if successfully attacked would not have altered the verdict. We now examine the time of disclosure of Gunschel’s perjury. In arguing that the timing of disclosure violated due process, appellants have not identified specific portions of Gunschel’s grand jury testimony as perjurious but assert only that he perjured himself before the grand jury. In urging dismissal of the indictment at trial, appellants pointed to Gunschel’s lies about the lease of the freezer at the Ansel Gurney House. Our reading of the record also reveals that Gunschel was not completely truthful in his testimony about seeing Daggett at the freezer. Had this perjury not been disclosed at all, we would be faced wit